How do i solve this equation -4p+9=-5

Mathematics

2 answers:

gregori [183]3 years ago

5 0

Answer:

p = 7/2

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Equality Properties

Multiplication Property of Equality
Division Property of Equality
Addition Property of Equality
Subtract Property of Equality

Step-by-step explanation:

Step 1: Define

-4p + 9 = -5

Step 2: Solve for p

Subtract 9 on both sides: -4p = -14
Divide -4 on both sides: p = 7/2

Step 3: Check

Plug in p into the original equation to verify it's a solution.

Substitute in p: -4(7/2) + 9 = -5
Multiply: -14 + 9 = -5
Add: -5 = -5

Here we see that -5 does indeed equal -5.

∴ p = 7/2 is the solution to the equation.

IRISSAK [1]3 years ago

4 0

Answer:

$- 4p + 9 = - 5 \\ - 4p = - 14 \\ p = \frac{ - 14}{ - 4} \\ p = \frac{7}{2} \\ \boxed{ p = 3.5}$

<h3>3.5 is the right answer.</h3>

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Find the volume of a cylinder with a diameter of 6 inches and a height that is three times the radius. Use pi on your calculator

Virty [35]

ANSWER
$V=254.47in^3$

EXPLANATION

The volume of a cylinder is given by the formula:

$V=\pi \: {r}^{2} h$

The given cylinder has diameter 6. This means that, the radius is

$r = \frac{6}{2}$

$r = 3cm$

The is height is

$h = 3r$

$h = 3(3) = 9cm$

We substitute the values into the formula to obtain;

$V=\pi \: {3}^{2} \times 9$

$V=81\pi$

$V=254.46900494$

The volume is $254.47in^3$ to the nearest hundredth